Home
Class 12
MATHS
Solve sqrt(x-2) le 3...

Solve `sqrt(x-2) le 3 `

Text Solution

Verified by Experts

The correct Answer is:
`2 le x le 11 `

`sqrt(x-2) le 3` is meaning for `x - 2 ge 0 or x ge 2`
Also `sqrt(x-2) le 3`
`rArr x-2 le 9`
`rArr x le 11`
From (1) and (2) we have `2 le x le 11`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.3|13 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.4|11 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.1|12 Videos
  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos
  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|3 Videos

Similar Questions

Explore conceptually related problems

Solve x=sqrt(3x+4)

Solve sqrt(x+5)= 2x + 3 using formula method .

Solve sqrt(2)x^(2) +x + sqrt(2)=0

Solve sqrt(5)x^(2) + x + sqrt(5)=0

Solve 1 le |x-2| le 3

Solve log_(3)(x-2) le 2 .

Solve sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

Solve (4)/(x+1) le 3 le (6)/(x+1) , x gt 0

Solve x sqrt(x ) ge sqrt( x )-3

Solve sqrt(x +5) = 2x +3 using formula method.